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Australian AMC 2012 - Senior Question 20

AMC AUSTRALIA · Australian AMC 2012 - Senior

Question 20

In the $\triangle PQR$, $\angle R=2\angle P$, $PR=5$ and $QR=4$. The length of $PQ$ is
  1. $2\sqrt{10}$
  2. 6
  3. 7
  4. $2\sqrt7$
  5. $5\sqrt2$